X and Y are independent random variables. X takes values 2, 5, and 7 with probability 1/2, 1/4, and 1/4 respectively. Y take values 3, 4, and 5 with the probability 1/3, 1/3 and 1/3.
a) Find the joint probability distribution of X and Y.
b) Show that the covariance of X and Y is equal to zero.
Answer:-
